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### A MODIFICATION FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING NONLINEAR GAS DYNAMIC AND COUPLED KDV EQUATIONS INVOLVING LOCAL FRACTIONAL OPERATORS

ABSTRACT
In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative and integral operators. This method is the combination of the local fractional Laplace transform and variational iteration method. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
KEYWORDS
PAPER SUBMITTED: 2017-08-04
PAPER REVISED: 2017-11-20
PAPER ACCEPTED: 2017-11-24
PUBLISHED ONLINE: 2018-01-07
DOI REFERENCE: https://doi.org/10.2298/TSCI170804283B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S165 - S175]
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© 2020 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence